7648008467 has 8 divisors (see below), whose sum is σ = 8834063472. Its totient is φ = 6543750400.

The previous prime is 7648008463. The next prime is 7648008469.

7648008467 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7648008467 - 2² = 7648008463 is a prime.

It is a super-2 number, since 2×7648008467² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7648008463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20449034 + ... + 20449407.

It is an arithmetic number, because the mean of its divisors is an integer number (1104257934).

Almost surely, 2^7648008467 is an apocalyptic number.

7648008467 is a deficient number, since it is larger than the sum of its proper divisors (1186055005).

7648008467 is a wasteful number, since it uses less digits than its factorization.

7648008467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40898469.

The product of its (nonzero) digits is 1806336, while the sum is 50.

The square root of 7648008467 is about 87452.8928452341. The cubic root of 7648008467 is about 1970.2263361789.

The spelling of 7648008467 in words is "seven billion, six hundred forty-eight million, eight thousand, four hundred sixty-seven".